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Finding the Fourth Proportional to 84,116.37, 126,137.63 and 31,488.95

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Solution

The fourth proportional to 84,116.37, 126,137.63 and 31,488.95 is: 47,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,116.37 : 126,137.63 = 31,488.95 : x
  2. Step 2: Convert to fraction form
    84,116.37/126,137.63 = 31,488.95/x
  3. Step 3: Cross multiply
    84,116.37x = 126,137.63 × 31,488.95
  4. Step 4: Simplify right side
    84,116.37x = 3,971,940,893.50
  5. Step 5: Solve for x
    x = 3,971,940,893.50/84,116.37
  6. Step 6: Final answer
    x = 47,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.